Abstract:Scaling is found in a wide range of systems from nature to society, of economy and finance, is the power law behavior of a particular observable. Financial complexity is promulgated. On the bases of scaling of stock fluctuation and detrended fluctuation analysis (DFA) the application is researched, empirical scaling exponent of stock market is calculated.(Ⅰ)spread DFA into dynamic recursion algorithm; (Ⅱ) calculate the scaling exponent of the prices of some interior stocks. The conclusion shows that, compared with DFA and R／S(rescaled range analysis)recursion DFA computes faster，has smaller internal storage and it can meet with the real demand of stock fluctuation analysis more wel1．The scaling analysis of interior stock fluctuation shows that Shanghai stock market and Shenzhen stock market have a lasting characteristic． The influence of big financial event to these two stock markets is lasting